Finite-Time H_∞ Control for Discrete-Time Markov Jump Systems with Actuator Saturation

This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that...

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Published inAbstract and Applied Analysis Vol. 2014; no. 2014; pp. 489 - 495-153
Main Authors Li, Bo, Zhao, Junjie
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 2014
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
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ISSN1085-3375
1687-0409
DOI10.1155/2014/182613

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Abstract This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
AbstractList This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time [subscript] H ∞ [/subscript] controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
Author Zhao, Junjie
Li, Bo
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Copyright Copyright © 2014 Bo Li and Junjie Zhao.
Copyright © 2014 Bo Li and Junjie Zhao. Bo Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright_xml – notice: Copyright © 2014 Bo Li and Junjie Zhao.
– notice: Copyright © 2014 Bo Li and Junjie Zhao. Bo Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Snippet This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process...
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SubjectTerms Closed loop systems
Controllers
Design
Feedback control systems
Neural networks
Probability
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Title Finite-Time H_∞ Control for Discrete-Time Markov Jump Systems with Actuator Saturation
URI https://www.airitilibrary.com/Article/Detail/P20160825001-201412-201609080014-201609080014-489-495-153
https://search.emarefa.net/detail/BIM-1013431
https://dx.doi.org/10.1155/2014/182613
https://www.proquest.com/docview/1521041099
https://doaj.org/article/812cd7fbfdd74bba9542e1c37eb2930a
Volume 2014
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